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2016

More on analytic bootstrap for O(N) models

Dey, Parijat, Kaviraj, Apratim, Sen, Kallol

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This note is an extension of a recent work on the analytical bootstrapping of $O(N)$ models.

An additonal feature of the $O(N)$ model is that the OPE contains trace and antisymmetric operators apart from the symmetric-traceless objects appearing in the OPE of the singlet sector.
This in addition to the stress tensor $(T_{\mu\nu})$ and the $\phi_i\phi^i$ scalar, we also have other minimal twist operators as the spin-1 current $J_\mu$ and the symmetric-traceless scalar in the case of $O(N)$.
We determine the effect of these additional objects on the anomalous dimensions of the corresponding trace, symmetric-traceless and antisymmetric operators in the large spin sector of the $O(N)$ model, in the limit when the spin is much larger than the twist.

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